The average math SAT score is 520 with a standard deviation of 116. A particular high school claims that its students have unusually high math SAT scores. A random sample of 40 students from this school was selected, and the mean math SATscore was 561. Is the high school justified in its claim? Explain.V since itV within the range of a usual event, namely withinV of the mean of the sample means.V. because the z-score () is(Round to two decimal places as needed.)

Given data The average math SAT score is 520 with a standard deviation of 116. A particular high…

Answered: The average math SAT score is 520 with…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 42. Assume seven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ¤ - N( 111 42 b. For the group of 7, find the probability that the average number of friends is less than 96. c. Find the third quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+] Finding Value Given a Probability Using the Central Limit Theorem [+1 • The Central Limit Theorem For Sums 2 [+] Hint Submit Question
Assume that in a given year the mean mathematics SAT score was 495, and the standard deviation 111. A sample of 61 score is chosen. ANSWER ALL QUESTIONS PLEASE SHOW WORK A.What is the probability that same mean score is less than 484? B. The probability that the sample mean score is between 460 and 500 is? C. The 10th percentile of the sample mean is D. Would it be unusual if the sample mean were greater than 520? And what is the probability? E. Do you think it would be unusual for an individual to get a score greater than 520? What is the probability
Q6. If the test statistic for a left-tailed test is z = –1.72, then P-value is 0.9518.a. Trueb. False
5) The daily revenue at a university snack bar has records to indicate that the mean daily revenue is $2,400 and standard deviation is $600. A random sample of 81 days was selected. Find the approximate probability that the average revenue for the sample is less than $2,300.
Q)In a certain large university, students spend on average $75 a month on pizza, with a standard deviation of $24.30.A marketing specialist plans to survey 225 students, and ask them to record how much they spent on pizza during April.(a) What would be the standard deviation of the sample mean?(b) What is the probability that the researcher will get a sample mean less than $72.5?
Suppose the heights of 18 year old men are approximately normally distributed, with mean 71 inches and standard deviation 5 inches. What is the probability that an 18 year old man selected at random is between 70 and 72 inches tall? if random sample of twenty-nine 18 year old men is selected, what is the probability that the mean height x is between 70 and 72 inches? compare your answers to parts a and b. Is the probability in part b much higher? Why
A librarian wants to estimate the average number of book a patron will checkout over a years time. She believes from past studies the standard deviation is20 books per year. If she samples 100 patrons, with what probability can sheassert than the error in her estimate will be less than 5 books per year? (
Among all monthly bills from a certain credit card company, the mean amount billed was $465 and the standard deviation was $300. In addition, for 15% of the bills, the amount billed was greater than $1000. A sample of 900 bills is drawn. What is the probability that more than 150 of the sampled bills are for amounts greater than $1000? (Round the final answer to four decimal places.)
3. Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is between a 6 and a 9?
1What is the probability of a group having an average high school GPA below 4.1? In 2019, the average high school GPA for incoming University of Maryland freshmen was 4.32, with a standard deviation of 0.285. Suppose UMD freshmen are randomly assigned into groups of 25.
Suppose (rounded to the nearest thousand) that the mean cost of a house is $152,000 with a standard deviation of $44,000 in Pittsburgh and that house prices are normally distributed. Between what two prices do the middle 95% of houses fall in Pittsburgh? Find the probability that a house costs less than $100,000. If you are in the market for one of the most expensive 10% of houses, what price range are you exploring?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS